An object has two horizontal forces acting in opposite directions: $12N$ to the right and $7N$ to the left. Taking right as the positive direction, what is the net force on the object?

• A. $19N$ to the right
• B. $5N$ to the right
• C. $0N$
• D. $5N$ to the left

Answer: (B)

Verified step by step guidance

1. Identify the forces acting on the object and their directions. Here, there is a 12 N force to the right and a 7 N force to the left. Since right is taken as positive, assign +12 N to the right force and -7 N to the left force.
2. Write the expression for the net force by summing the forces algebraically, taking into account their signs: \(F_{net} = +12\,\text{N} + (-7\,\text{N})\).
3. Simplify the expression to find the net force magnitude and direction: \(F_{net} = 12 - 7\).
4. Interpret the result: if the net force is positive, it points to the right; if negative, it points to the left.
5. State the final net force on the object with its magnitude and direction based on the sign obtained.